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Finding the Fourth Proportional to 2,645.85, 3,967.49 and 796.62

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Solution

The fourth proportional to 2,645.85, 3,967.49 and 796.62 is: 1,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.85 : 3,967.49 = 796.62 : x
  2. Step 2: Convert to fraction form
    2,645.85/3,967.49 = 796.62/x
  3. Step 3: Cross multiply
    2,645.85x = 3,967.49 × 796.62
  4. Step 4: Simplify right side
    2,645.85x = 3,160,583.88
  5. Step 5: Solve for x
    x = 3,160,583.88/2,645.85
  6. Step 6: Final answer
    x = 1,194.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.